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Finding the Fourth Proportional to 5,857.01, 8,786.39 and 1,960.50

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Solution

The fourth proportional to 5,857.01, 8,786.39 and 1,960.50 is: 2,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.01 : 8,786.39 = 1,960.50 : x
  2. Step 2: Convert to fraction form
    5,857.01/8,786.39 = 1,960.50/x
  3. Step 3: Cross multiply
    5,857.01x = 8,786.39 × 1,960.50
  4. Step 4: Simplify right side
    5,857.01x = 17,225,707.79
  5. Step 5: Solve for x
    x = 17,225,707.79/5,857.01
  6. Step 6: Final answer
    x = 2,941.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.